0.10(y-2)+0.04y=0.18y-0.5

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Solution for 0.10(y-2)+0.04y=0.18y-0.5 equation: 


Simplifying
0.10(y + -2) + 0.04y = 0.18y + -0.5

Reorder the terms:
0.10(-2 + y) + 0.04y = 0.18y + -0.5
(-2 * 0.10 + y * 0.10) + 0.04y = 0.18y + -0.5
(-0.2 + 0.10y) + 0.04y = 0.18y + -0.5

Combine like terms: 0.10y + 0.04y = 0.14y
-0.2 + 0.14y = 0.18y + -0.5

Reorder the terms:
-0.2 + 0.14y = -0.5 + 0.18y

Solving
-0.2 + 0.14y = -0.5 + 0.18y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-0.18y' to each side of the equation.
-0.2 + 0.14y + -0.18y = -0.5 + 0.18y + -0.18y

Combine like terms: 0.14y + -0.18y = -0.04y
-0.2 + -0.04y = -0.5 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.2 + -0.04y = -0.5 + 0.00
-0.2 + -0.04y = -0.5

Add '0.2' to each side of the equation.
-0.2 + 0.2 + -0.04y = -0.5 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -0.04y = -0.5 + 0.2
-0.04y = -0.5 + 0.2

Combine like terms: -0.5 + 0.2 = -0.3
-0.04y = -0.3

Divide each side by '-0.04'.
y = 7.5

Simplifying
y = 7.5

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